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Finding the Fourth Proportional to 2,061.81, 3,092.67 and 675.81

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Solution

The fourth proportional to 2,061.81, 3,092.67 and 675.81 is: 1,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.81 : 3,092.67 = 675.81 : x
  2. Step 2: Convert to fraction form
    2,061.81/3,092.67 = 675.81/x
  3. Step 3: Cross multiply
    2,061.81x = 3,092.67 × 675.81
  4. Step 4: Simplify right side
    2,061.81x = 2,090,057.31
  5. Step 5: Solve for x
    x = 2,090,057.31/2,061.81
  6. Step 6: Final answer
    x = 1,013.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.